Quark-hadron duality in B meson semileptonic decays

• Project/Area Number: 18H03710
• Research Category: Grant-in-Aid for Scientific Research (A)
• Allocation Type: Single-year Grants
• Section: 一般
• Review Section: Medium-sized Section 15:Particle-, nuclear-, astro-physics, and related fields
• Research Institution: High Energy Accelerator Research Organization
• Principal Investigator: Hashimoto Shoji 大学共同利用機関法人高エネルギー加速器研究機構, 素粒子原子核研究所, 教授 (90280510)
• Co-Investigator(Kenkyū-buntansha): 大木 洋 奈良女子大学, 自然科学系, 助教 (50596939)
• Project Period (FY): 2018-04-01 – 2022-03-31
• Project Status: Completed (Fiscal Year 2022)
• Budget Amount: ¥43,810,000 (Direct Cost: ¥33,700,000、Indirect Cost: ¥10,110,000); Fiscal Year 2021: ¥11,310,000 (Direct Cost: ¥8,700,000、Indirect Cost: ¥2,610,000); Fiscal Year 2020: ¥11,310,000 (Direct Cost: ¥8,700,000、Indirect Cost: ¥2,610,000); Fiscal Year 2019: ¥11,310,000 (Direct Cost: ¥8,700,000、Indirect Cost: ¥2,610,000); Fiscal Year 2018: ¥9,880,000 (Direct Cost: ¥7,600,000、Indirect Cost: ¥2,280,000)
• Keywords: B中間子崩壊 / クォーク・ハドロン双対性 / 格子QCD / B中間子 / スペクトル関数 / 量子色力学 / セミレプトニック崩壊 / インクルーシブ / インクルーシブ崩壊 / クォークハドロン双対性

Outline of Final Research Achievements

We developed a new technique to calculate inclusive decay rate of semi-leptonic B meson decays using the first-principles lattice Quantum Chromodynamics (lattice QCD) computation without relying on the assumption of quark-hadron duality. That include not only the ground state of final state hadrons but all the states including the excited states. It evaluate the energy integral over the hadronic final states appearing in the inclusive decays using hadronic correlation function calculated on the lattice. We performed test calculation and compared the results with corresponding perturbative calculation to confirm that they agree. We also carried out more detailed studies to validate the approximation of the energy integral.

Academic Significance and Societal Importance of the Research Achievements

量子色力学の関わる物理過程を理論的に計算する際には、クォークを基礎的自由度としてあつかう摂動法がしばしば用いられる。実際にあらわれる過程はクォークの束縛状態としてのハドロンであり、摂動法による計算が正当化できるかどうかは自明ではない。実際、このことは「クォーク・ハドロン双対性」の仮定として扱われる。本研究ではこの仮定によることなく、量子色力学の第一原理計算を通じて包括的測定に対応する崩壊率を計算することを可能にした。

Research Products

• [Int'l Joint Research] University of Turin/University of Rome(イタリア)
• [Int'l Joint Research] University of Southampton(英国)
• [Int'l Joint Research] CERN(スイス)
• [Int'l Joint Research] University of Turin(イタリア)
• [Int'l Joint Research] University of Torino(イタリア)
• [Int'l Joint Research] トリノ大学(イタリア)
• [Int'l Joint Research] ヨーク大学(カナダ)
• [Journal Article] Comparison of lattice QCD results for inclusive semi-leptonic decays B mesons with the OPE (2022)
  • Author(s): Maechler Sandro、Gambino Paolo、Hashimoto Shoji
  • Journal Title: Proceedings of Science Volume: 396 Pages: 512-512
  • DOI: 10.22323/1.396.0512
  • Open Access / Int'l Joint Research
• [Journal Article] Composition of the inclusive semi-leptonic decay of B meson (2022)
  • Author(s): Hashimoto Shoji、Bailas Gabriela
  • Journal Title: Proceedings of Science Volume: 396 Pages: 534-534
  • DOI: 10.22323/1.396.0534
  • Open Access / Int'l Joint Research
• [Journal Article] Lattice QCD study of inclusive semileptonic decays of heavy mesons (2022)
  • Author(s): Gambino Paolo、Hashimoto Shoji、Machler Sandro、Panero Marco、Sanfilippo Francesco、Simula Silvano、Smecca Antonio、Tantalo Nazario
  • Journal Title: Journal of High Energy Physics Volume: 2022 Issue: 7 Pages: 083-083
  • DOI: 10.1007/jhep07(2022)083
  • Peer Reviewed / Open Access / Int'l Joint Research
• [Journal Article] Spectral sum of current correlators from lattice QCD (2021)
  • Author(s): Ishikawa Tsutomu、Hashimoto Shoji
  • Journal Title: Physical Review D Volume: 104 Issue: 7 Pages: 074521-074521
  • DOI: 10.1103/physrevd.104.074521
  • Peer Reviewed / Open Access
• [Journal Article] Inclusive Semileptonic Decays from Lattice QCD (2020)
  • Author(s): Paolo Gambino, Shoji Hashimoto
  • Journal Title: Physical Review Letters Volume: 125 Issue: 3 Pages: 032001-032001
  • DOI: 10.1103/physrevlett.125.032001
  • Peer Reviewed / Open Access / Int'l Joint Research
• [Journal Article] Reconstruction of smeared spectral functions from Euclidean correlation functions (2020)
  • Author(s): Gabriela Bailas, Shoji Hashimoto, Tsutomu Ishikawa
  • Journal Title: Progress of Theoretical and Experimental Physics Volume: 2020 Issue: 4
  • DOI: 10.1093/ptep/ptaa044
  • Peer Reviewed / Open Access
• [Journal Article] Towards fully nonperturbative computations of inelastic ?N scattering cross sections from lattice QCD (2020)
  • Author(s): Fukaya Hidenori、Hashimoto Shoji、Kaneko Takashi、Ohki Hiroshi
  • Journal Title: Physical Review D Volume: 102 Issue: 11 Pages: 114516-114516
  • DOI: 10.1103/physrevd.102.114516
  • Peer Reviewed / Open Access
• [Journal Article] Chiral-spin symmetry of the meson spectral function above Tc (2020)
  • Author(s): C. Rohrhofer, Y. Aoki, L. Ya. Glozman, S. Hashimoto
  • Journal Title: Physics Letters B Volume: 802 Pages: 135245-135245
  • DOI: 10.1016/j.physletb.2020.135245
  • Peer Reviewed / Open Access
• [Journal Article] Symmetries of spatial meson correlators in high temperature QCD (2019)
  • Author(s): C. Rohrhofer, Y. Aoki, G. Cossu, H. Fukaya, C. Gattringer, L. Ya. Glozman, S. Hashimoto, C.B. Lang, and S. Prelovsek
  • Journal Title: Physical Review D Volume: 100 Issue: 1 Pages: 014502-014502
  • DOI: 10.1103/physrevd.100.014502
  • Peer Reviewed / Open Access / Int'l Joint Research
• [Journal Article] Inclusive B decay calculations with analytic continuation (2018)
  • Author(s): Hashimoto Shoji、Colquhoun Brian、Izubuchi Taku、Kaneko Takashi、Ohki Hiroshi
  • Journal Title: EPJ Web of Conferences Volume: 175 Pages: 13006-13006
  • DOI: 10.1051/epjconf/201817513006
  • Open Access / Int'l Joint Research
• [Presentation] Inclusive semileptonic B-decays from lattice QCD (2022)
  • Author(s): Antonio Smecca
  • Organizer: Lattice 2022
  • Int'l Joint Research
• [Presentation] Inclusive semi-leptonic decays of charmed mesons with Mobius domain wall fermions (2022)
  • Author(s): Ryan Kellermann
  • Organizer: Lattice 2022
  • Int'l Joint Research
• [Presentation] Inclusive semi-leptonic Bs mesons decay at the physical b quark mass (2022)
  • Author(s): Alessandro Barone
  • Organizer: Lattice 2022
  • Int'l Joint Research
• [Presentation] Comparison of lattice QCD results for inclusive semi-leptonic decays B mesons with the OPE (2021)
  • Author(s): Sandro Machler
  • Organizer: Lattice 2021
  • Int'l Joint Research
• [Presentation] Composition of the inclusive semi-leptonic decay of B meson (2021)
  • Author(s): Shoji Hashimoto
  • Organizer: Lattice 2021
  • Int'l Joint Research
• [Presentation] Inclusive B decay structure functions and their decomposition into final states (2019)
  • Author(s): S. Hashimoto
  • Organizer: Advances in Lattice Gauge Theory
  • Int'l Joint Research / Invited
• [Presentation] インクルーシブ崩壊構造関数からのB->D**lnモードへの制限 (2019)
  • Author(s): 橋本省二
  • Organizer: 日本物理学会第７４回年次大会
• [Presentation] Inclusive decay structure functions for B->Xclnu (2018)
  • Author(s): S. Hashimoto
  • Organizer: Interntatical Symposium for Lattice Field Theory (Lattice 2018)
  • Int'l Joint Research
• [Presentation] Hints and challenges in heavy quark physics (2018)
  • Author(s): S. Hashimoto
  • Organizer: Interntatical Symposium for Lattice Field Theory (Lattice 2018)
  • Int'l Joint Research / Invited
• [Funded Workshop] 6th KEK Flavor Factory Workshop (KEK-FF 2019) (2019)